Question

Diffraction can be used to provide a quick test of the size of red blood cells. Blood is smeared onto a slide, and a laser shines through the slide. The size of the cells is very consistent, so the multiple diffraction patterns overlap and produce an overall pattern that is similar to what a single cell would produce. Ideally, the diameter of a red blood cell should be between 7.5 and 8.0 μm.

If a 633 nm laser shines through a slide and produces a pattern on a screen 24.0 cm distant, what range of sizes of the central maximum should be expected? Values outside this range might indicate a health concern and warrant further study.

Problem 17.44 27 of 29 Review Constants | Periodic Table Part A Diffraction can be used to provide a quick test of the size of red blood cells. Blood is smeared onto a slide, and a laser shines through the slide. The size of the cells is very consistent, so the multiple diffraction patterns overlap and produce an overall pattern that is similar to what a single cell would produce. Ideally, the diameter of a red blood cell should be between 7.5 and 8.0 μm. If a 633 nm laser shines through a slide and produces a pattern on a screen 24.0 cm distant, what range of sizes of the central maximum should be expected? Values outside this range might indicate a health concern and warrant further study Enter the minimum and maximum width in millimeters separated by a comma. Unin.Unax= | 18, 20 mim SubmitP Request Answer XIncorrect; Try Again; 2 attempts remaining Provide Feedback Next >

Not a clue what to answer anymore. Keep in mind I have answered [ 38,40.5 mm ] already and I was wrong :/

Answer 1

Diameter of blood shell is, d (7.5 to 8.0)um For diffraction, sin θ ~ tan θ--( for small angle ) dy For n equals to l and D equals to 24 cm and d equals to 7.5㎛ (1)(0.24 m) (633x10 ) 17.5x10-6 m 0.0202 m For n equals to 1 and D equals to 24 cm and d equals to 8.0yum (1)(0.24 m)(633x 109 m 8.0x10' m 0.01899m Thus, Range is (0.0202 to 0.01899) m.

Answer 2

w= (2.44λL) ÷ D

L = distance

D = diameter

The diameter of a red blood cell is between 7.5 and 8.0.

To get the minimum width, substitute D for 8.0

To get the maximum width, substitute D for 7.5

You should get these as answers:

Min width = 46.3 mm

Max width = 49.4 mm

Make sure your units are the same (it is easier to convert everything to meters) when calculating.